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Finding the Fourth Proportional to 503.92, 695.28 and 462.46

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Solution

The fourth proportional to 503.92, 695.28 and 462.46 is: 638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.92 : 695.28 = 462.46 : x
  2. Step 2: Convert to fraction form
    503.92/695.28 = 462.46/x
  3. Step 3: Cross multiply
    503.92x = 695.28 × 462.46
  4. Step 4: Simplify right side
    503.92x = 321,540.49
  5. Step 5: Solve for x
    x = 321,540.49/503.92
  6. Step 6: Final answer
    x = 638.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.